After intensive study, I believe ropat is correct in his analysis. Various sites identify the puzzle picture as a McCue, but everything seems to trace back to the single "american-automobiles" picture. And yes, the same photograph shows up on pages where other marques are described, although, in all cases, the photograph is never captioned as a particular brand, but only as: "1911 Touring Car". The only other picture of a McCue I can find is from a period advertisement. This photograph shows up on the "american-automobiles" page (and elsewhere) along with the puzzle photograph, which, as ropat says, shows a car with RHD and longitudinal springs. I find it very unlikely that McCue would manufacture two models of such a different design, and since the photograph also shows up on a Ford Model T site, I must agree that it is probably, a Model T.
That said, I think Gerd (Wendax) deserves a point, as he produced the correct identification. While I submitted my answer in good faith, it is apparently incorrect, and so I understand if you decide to withdraw the point awarded to me. As for the puzzle, I believe I would leave as solved, but with a corrected title such as: 1911 Ford Model T (misidentified as a 1911 McCue Touring Car).